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Finding the Fourth Proportional to 3,066.01, 4,597.65 and 874.22

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Solution

The fourth proportional to 3,066.01, 4,597.65 and 874.22 is: 1,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.01 : 4,597.65 = 874.22 : x
  2. Step 2: Convert to fraction form
    3,066.01/4,597.65 = 874.22/x
  3. Step 3: Cross multiply
    3,066.01x = 4,597.65 × 874.22
  4. Step 4: Simplify right side
    3,066.01x = 4,019,357.58
  5. Step 5: Solve for x
    x = 4,019,357.58/3,066.01
  6. Step 6: Final answer
    x = 1,310.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.